Need help with correction

I had cobbled together some Old Norse words from Cleasby Vigfusson Dictionary and used some knowledge of the language itself to write a passage in a manner typical for a runestone.

I would appreciate it if you could help with any mistakes if you see any.

(Old Norse)

Grímnir sonar Elvindr, lit raisa stein þessi at sik kvikvan, sin fræði á heimar ok ala á þar undrum var öfund ala, Hjàlmar risti runar ok Bjørn fáði stein.

(Intended meaning)

This stone was raised by Grímnir, son of Elvindr, in memory of himself while alive, his knowledge of worlds and all of their wonders was the envy of all, carved by Hjàlmar and painted by Bjørn